Book ID: CBB497710314

Euler's Pioneering Equation: The Most Beautiful Theorem in Mathematics (2018)


Wilson, Robin J. (Author)

Oxford University Press

Publication Date: 2018
Physical Details: 176
Language: English

In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a "score for beauty". While there were many worthy competitors, the winner was"Euler's equation". In 2004 Physics World carried out a similar poll of "greatest equations", and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like aShakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence".What is it that makes Euler's identity, eipi + 1 = 0, so special?In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a majordevelopment in mathematics, and opened up the idea of negative numbers; pi an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Followinga chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.

Reviewed By

Review Miranda Wood (2019) Review of "Euler's Pioneering Equation: The Most Beautiful Theorem in Mathematics". British Journal for the History of Mathematics (pp. 120-123). unapi

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Authors & Contributors
Scriba, Christoph J.
Mel'nikov, I. G.
Antropov, A. A.
Ferraro, Giovanni
Glasberg, Ronald
Zhang, Sheng
Historia Mathematica
Humanismus und Technik
Istoriko-Matematicheskie Issledovaniia
Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Historia Scientiarum: International Journal of the History of Science Society of Japan
Princeton University Press
Pickering & Chatto
Oxford University Press
Number theory; number concept
Functions (mathematics)
Equations and formulae
Euler, Leonhard
Fermat, Pierre de
Lambert, Johann Heinrich
Gauss, Carl Friedrich
Pell, John
Leibniz, Gottfried Wilhelm von
Time Periods
18th century
17th century
19th century
20th century, early
Middle and Near East
Great Britain

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